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Finding the Fourth Proportional to 13,999.89, 19,321.23 and 10,456.95

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Solution

The fourth proportional to 13,999.89, 19,321.23 and 10,456.95 is: 14,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.89 : 19,321.23 = 10,456.95 : x
  2. Step 2: Convert to fraction form
    13,999.89/19,321.23 = 10,456.95/x
  3. Step 3: Cross multiply
    13,999.89x = 19,321.23 × 10,456.95
  4. Step 4: Simplify right side
    13,999.89x = 202,041,136.05
  5. Step 5: Solve for x
    x = 202,041,136.05/13,999.89
  6. Step 6: Final answer
    x = 14,431.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.